Minimal Graphs in the Hyperbolic Space with Singular Asymptotic Boundaries
Analysis of PDEs
2016-03-15 v1
Abstract
We study asymptotic behaviors of solutions to the Dirichlet problem for minimal graphs in the hyperbolic space with singular asymptotic boundaries under the assumption that the boundaries are piecewise regular with positive curvatures. We derive an estimate of such solutions by the corresponding solutions in the intersections of interior tangent balls. The positivity of curvatures plays an important role.
Cite
@article{arxiv.1603.03857,
title = {Minimal Graphs in the Hyperbolic Space with Singular Asymptotic Boundaries},
author = {Qing Han and Weiming Shen and Yue Wang},
journal= {arXiv preprint arXiv:1603.03857},
year = {2016}
}